Upon save, this process is saved as Flow with a RecordUpdate node that updates the Case object's OwnerId field with the queue ID corresponding to the queue NAME chosen in the process builder UI. The Queue Name to ID resolution happens during process SAVE time - NOT during process RUNTIME.
The process (or flow) definition now has an ID value (user id or queue id) hardcoded in it - this imposes a prerequisite on the production org to have the user/queue with the exact same ID for the process deployment from sandbox.
If for any reason, the production org and the dev (or sandbox) org has the same queue/user names but with different IDs, the process would cause runtime errors in the production failing to identify the user or queue with that exact same ID.
In simple terms, if the process builder and queue deployed to Production using the change sets/ANT the same queue id copied over to the destination and it is unaffected by this issue but if it is created manually in the Production org with the same process builder name and queue name it will take a new queue ID as owner ID and disrupt the process.
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